On Faltings' annihilator theorem

Details On Faltings' annihilator theorem On Faltings' annihilator theorem

2006-10-10

arxiv.org/abs/math/0610312v1

Mathematics

Commutative Algebra

6 pages

Scientific paper

In the present article, the author shows that Faltings' annihilator theorem
holds for any Noetherian ring $A$ if $A$ is universally catenary; all the
formal fibers of all the localizations of $A$ are Cohen-Macaulay; and the
Cohen-Macaulay locus of each finitely generated $A$-algebra is open.

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